Artemov wrote:

Is there a way out for solving these syllogism problems with the help of Venn diagram?

I have heard it is.

Will any of the experts enlighten on this please?

Positive Negative

Universal All No

Particular Some Some........not

1) Some A's are not B's means atleast 1 A is not a B

2) All A's are B's means All B's are A's

3) A positive + A positive = always is a positive conclusion

4) A positive + a negative= Always leads to a negative conclusion

5) a negative + a Negtive = leads to no conclusion

6) A universal + a universal statement always gives the followin conclusions- either universal/a particular/a no conclision

7) a universal Conclusion+particular conclusion =always gives a particular conclusion

8) a particular + a particular = no conclusion

9) All A's are B's

All B's are C's

the conclision is exists = All C's are A's and vice versa

10) Some A's are C's

Some C's are A's = a conclusion cannot be derived...................

All A's are B's means that A->B is distributed But B-> A is not distributed

Some A's are B's means A->B is not ditributed nor is B->A distributed

No A's are B's means A->B is not true and B->A is not true . So here both

A and B are Distributed

11) All A's are B's

All C's are B's

No conclusion since the middle term B is not distributed in both

For a conclision to exist the middle term needs to be distributed atleast once.................................

12) All A's are B's

All A's are c's

Conclusion is Some B's are C's or vice versa

14) All A's are B's

Some A's are C's

Some b's are C's and vice versa

13) All A's are B's

Some B's are C's

No conclusion since B is not distributed......................

15) No A's are B's

Some A's are not C's

No conclusion since both premises are negative

16) many A's are b's

All b's are not C's

conclusion is some a's are not c's and vice versa

17)All a's are b's

No b's are c's

conclusion :No a's are c's and vice versa.....................

18) All a's are b's

All b's are c's

Conclision exists as b is distributed once............All a's are c's and vice versa. Some a's are c's and vice versa is also right.......

19) All a's are b's

All c's are b's

consluaion: No conclusion since the term b is not distributed

20) All a's are b's

All a's are c's

conclusion: Some b's are c's and vice versa

21) All a's are b's

Some a's are c's

conclusion : Some b's are c's

22) All a's are b's

Some b's are c's

Conslusion: No conclusion since b is not distributed at all...........

23) Many a's are b's

No b's are c's

Conclusion: Some a's are nto c's

24)No a's are b's

some a's are not c's

conlusion: No concluaion sonce both premises are negative

All+All = All /some

All+Some = Some

All+No= No/Some not

No+Some = Some not

Hope the above mentioned funda's help

sincerely,

jyotsna